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Finding the Fourth Proportional to 8,535.40, 12,805.98 and 4,096.60

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Solution

The fourth proportional to 8,535.40, 12,805.98 and 4,096.60 is: 6,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.40 : 12,805.98 = 4,096.60 : x
  2. Step 2: Convert to fraction form
    8,535.40/12,805.98 = 4,096.60/x
  3. Step 3: Cross multiply
    8,535.40x = 12,805.98 × 4,096.60
  4. Step 4: Simplify right side
    8,535.40x = 52,460,977.67
  5. Step 5: Solve for x
    x = 52,460,977.67/8,535.40
  6. Step 6: Final answer
    x = 6,146.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.